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Finding the Third Proportional to 21,362 and 34,016

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Solution

The third proportional to 21,362 and 34,016 is: 54,165.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,362 : 34,016 = 34,016 : x
  2. Step 2: Convert to fraction form
    21,362/34,016 = 34,016/x
  3. Step 3: Cross multiply
    21,362x = 34,016 × 34,016
  4. Step 4: Simplify right side
    21,362x = 1,157,088,256
  5. Step 5: Solve for x
    x = 1,157,088,256/21,362
  6. Step 6: Final answer
    x = 54,165.73

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.